102173178280320 has 1536 divisors, whose sum is σ = 427530999168000. Its totient is φ = 23307695308800.

The previous prime is 102173178280267. The next prime is 102173178280333. The reversal of 102173178280320 is 23082871371201.

102173178280320 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 7 + 317 + 8 + 2 + 8 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32059357767 + ... + 32059360953.

It is an arithmetic number, because the mean of its divisors is an integer number (278340494250).

Almost surely, 2^{102173178280320} is an apocalyptic number.

102173178280320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102173178280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213765499584000).

102173178280320 is an abundant number, since it is smaller than the sum of its proper divisors (325357820887680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102173178280320 is an frugal number, since it uses more digits than its factorization.

102173178280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 102173178280320 in words is "one hundred two trillion, one hundred seventy-three billion, one hundred seventy-eight million, two hundred eighty thousand, three hundred twenty".